Mariela and Deborah go to the same school. Mariela lives 8 miles east of the school, while one person lives 12 miles south of th
1 answer:
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Take derivitive
note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of
so
the derivitive of
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
slope=1/pi
use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)
y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1
note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of
so
the derivitive of
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
slope=1/pi
use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)
y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1
Answer:
(a) 68% of people has an IQ score between 87 and 113.
(b) 5% of people has an IQ score less than 74 or greater than 126.
(c) 0.15% of people has an IQ score greater than 139.
Step-by-step explanation:
Given information:Scores of an IQ test have a bell-shaped distribution,
mean = 100
standard deviation = 13
According to the empirical rule
68% data lies between and
.
95% data lies between and
.
99.7% data lies between and
.
(a)
Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.
(b)
Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.
The percentage of people has an IQ score less than 74 or greater than 126 is
P = 1- percent of people has an IQ score between 74 and 126.
P = 1- 95%
P = 5%
Therefore 5% of people has an IQ score less than 74 or greater than 126.
(c)
Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.
The percentage of people has an IQ score less than 61 or greater than 139 is
P = 1- percent of people has an IQ score between 61 and 139.
P = 1- 99.7%
P = 0.3%
The percentage of people has an IQ score greater than 139 is
Therefore 0.15% of people has an IQ score greater than 139.